5 citations · 16 across the 33 of their papers we have counts for
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Families of polynomials of every degree with no rational preperiodic points
Mohammad Sadek
Let be a number field. Given a polynomial of degree , it is conjectured that the number of preperiodic points of is bounded by a uniform bound that d…
Rational Points in Geometric Progression on the Unit Circle
Gamze Savaş Çelik, Mohammad Sadek, Gökhan Soydan
A sequence of rational points on an algebraic planar curve is said to form an -geometric progression sequence if either the abscissae or the ordinates of these points form a geo…
Genus 2 curves with bad reduction at one odd prime
Andrzej Dabrowski, Mohammad Sadek
In this article we consider smooth projective curves of genus two described by integral equations of the form , where is monic of degree .…
Strong rational Diophantine D(q)-triples
Andrej Dujella, Matteo Paganin, Mohammad Sadek
We show that for infinitely many square-free integers q there exist infinitely many triples of rational numbers {a, b, c} such that a^2 + q, b^2 + q, c^2 + q, ab + q, ac + q and bc…